Question

Find the value of x in the given figure A. x=32.3 B. x=29 C. x=27.7 D. x= 31

Answer 1

The sum of all the angles of a triangle is 180 degrees.

To solve for x you can make a formula of the sum of the angles equal to 180 like so...

(2x + 7) + (x + 3) + (3x - 4) = 180

2x + 7 + x + 3 + 3x - 4 = 180

Now you must combine like terms. This means that first numbers with the same variables (x) must be combined...

(2x + x + 3x) + 7 + 3 - 4 = 180

6x + 7 + 3 - 4 = 180

Combine like terms 7, 3, and -4...

6x + 6 = 180

Now bring 6 to the left side by subtracting 6 to both sides (what you do on one side you must do to the other). Since 6 is being added on the left side, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.

6x + 6 - 6 = 180 - 6

6x + 0 = 174

6x = 174

Next divide 6 to both sides to finish isolating x. Since 6 is being multiplied by x, division (the opposite of multiplication) will cancel 6 out (in this case it will make 6 one) from the left side and bring it over to the right side.

6x / 6 = 174 / 6

x = 29

B. 29

Hope this helped!

~Just a girl in love with Shawn Mendes